225928560 has 320 divisors, whose sum is σ = 854945280. Its totient is φ = 48599040.

The previous prime is 225928541. The next prime is 225928561. The reversal of 225928560 is 65829522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225928561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995167 + ... + 995393.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^225928560 is an apocalyptic number.

225928560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225928560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

225928560 is an abundant number, since it is smaller than the sum of its proper divisors (629016720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225928560 is a wasteful number, since it uses less digits than its factorization.

225928560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 225928560 is about 15030.9201315156. The cubic root of 225928560 is about 609.0557459331.

The spelling of 225928560 in words is "two hundred twenty-five million, nine hundred twenty-eight thousand, five hundred sixty".